Consider the following decisions. a) You are trying to decide whether or not to go on a blind date. You don’t know how likely it is that you will enjoy your time with your date. Is your decision to go or not a decision under risk or decision under ignorance? b) You planning to watch a movie this evening and want to decide whether to watch the comedy or drama on your watchlist. You’re in the mood for

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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6. You and your friend decide to play a game at a carnival that costs you $1 to play. The game involves flipping two coins and rolling a 6-sided die. If you flip two heads and roll a 3 on the die you win $25. If you flip two heads and roll an even number, you win $10. If you flip two tails with any dice roll, you win $5. a. List all of the possible outcomes for this game (i.e., the sample space). b. Calculate your expected value for this game. Game Outcome Probability c. Is this game profitable over time? How do you know?
After the premiere of the new comedy Bumblebee, moviegoers were asked in a quick poll whether they liked the movie. Out of 50 adults, all but 17 said they liked the movie, whereas out of 100 teenagers, all but 49 said they liked the movie. Fill in the blanks below to make the most reasonable statement possible. At the movie premiere, (Choose one) whereas % of the (Choose one) moviegoers liked the movie more. That is because only % disliked the movie, moviegoers disliked the movie. X 5
Michael wants to know if support for a local referendum on gay rights is related to political party affiliation. He conducts a survey of 200 local residents and asks them their political party affiliation and whether they intend to vote for or against the referendum. He learns that 16 people who say they are republican are for the referendum and 54 are against. Of those who say they are democrat, 72 people are for the referendum and 28 are against it. Some people identified as “other” and among that group, 3 were against the referendum and 27 were in favor of it. 1. Conduct the appropriate analysis with α=.05. 2. What should Michael conclude?
20 students from economics department were asked about their favourite course. 7 students said statistics, 3 of them said game theory, 9 of them said Microeconomics, 1 student said finance and 0 student said mathematics for economists. Draw a bar chart to represent the above information.(I have briefly shown you a bar chart during lecture. It’s nothing difficult but if you have any confusion, refer to the book or email me)
An electronic company manufactures electrical resistors with Rave = 40 Q and SD= 2, same unit. What is the probability that the manufactured products will exceed 43 Q? Assume normal distribution. O 17.24% O 82.76% O 93.32% O 6.68%
3. A poll done for Newsweek found that 10% of Americans have seen or sensed the presence of an angel. A contingent doubt that the percent is really that high. It conducts its own survey. Out of 85 Americans surveyed, only 5 had seen or sensed the presence of an angel. As a result of the contingent's survey, would you agree with the Newsweek poll? In complete sentences, also give three reasons why the two polls might give different results.
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B. Perimeter Shot - A perimeter shot, also known as a mid-range shot, is a jump shot or general field goal attempt that an offensive player can take inside of the three-point line and is worth 2 points. To practice this, Piel has to choose four different shooting spots among the five different spots in where he is comfortable of shooting. In previous games, his shot selection is 5% from the right baseline (Spot 1), 15% from the right elbow (Spot 2), 20% from the top of the key (Spot 3), 25% from the left elbow (Spot 4) and 35% from the left baseline (Spot 5). In this drill, a shooting spot can be selected once, multiple times, or not at all. This drill illustrates a random experiment with distribution. To help Piel decide, below is the partial table for the means and standard deviations of the random variable, Y, or the number of times he shoot the ball in a shooting spot. Shooting Spot E[Y] SD[Y] Spot 1 0.2 0.4359 Spot 2 0.6 0.7141 Spot 3 0.8 0.8000 Spot 4 the mean of 1.4 by will…
Emma and Eddie both want to choose their family's dinner entrée. Emma prefers burgers, and Eddie would like to order pizza. To determine who gets to pick, their dad suggests rolling a pair of fair dice. If the sum of the dice is 4 or 10, then Emma will pick dinner. If the sum is 2, 3, 11, or 12, then Eddie will pick dinner. They will roll the dice again if any other number is rolled. Is this a fair way to decide? Explain.(Hint: There are 21 total possibilities when rolling a pair of dice.) a No, it is not fair because there is a higher probability of rolling 2, 3, 11, or 12, so Eddie will most likely choose dinner. b Yes, it is fair because both Emma and Eddie have an equal probability of choosing dinner. c No, it is not fair because there is a higher probability of rolling 4 or 10, so Emma will most likely choose dinner. d No, it is not fair because there is a greater probability that they will roll a number other than 4, 10, 2, 3, 11, or 12.
3. Problem Solving a) Consider tossing a coin and then recording the number that comes up. What are the possible outcomes b) Two coins are tossed simultaneously. What are the possible outcomes.
B. Perimeter Shot - A perimeter shot, also known as a mid-range shot, is a jump shot or general field goal attempt that an offensive player can take inside of the three-point line and is worth 2 points. To practice this, Piel has to choose four different shooting spots among the five different spots in where he is comfortable of shooting. In previous games, his shot selection is 5% from the right baseline (Spot 1), 15% from the right elbow (Spot 2), 20% from the top of the key (Spot 3), 25% from the left elbow (Spot 4) and 35% from the left baseline (Spot 5). In this drill, a shooting spot can be selected once, multiple times, or not at all. This drill illustrates a random experiment with distribution. To help Piel decide, below is the partial table for the means and standard deviations of the random variable, Y, or the number of times he shoot the ball in a shooting spot. Shooting Spot E[Y] SD[Y] Spot 1 0.2 0.4359 Spot 2 0.6 0.7141 Spot 3 0.8 0.8000 Spot 4 the mean of 1.4 by will…
A roulette wheel has 38 numbers, with 18 odd numbers (black) and 18 even numbers(red), as well as 0 and 00 (which are green). You bet 5 dollars that the outcome is anodd number. If you win you get 10 dollars; otherwise you lose your 5 dollars. Note:assume the 0 and 00 numbers are considered even numbers What is your expected winnings? Which of these options is best: bet on an odd number or don’t bet? Why?